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Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

Machine Learning · Computer Science 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

Time-series clustering serves as a powerful data mining technique for time-series data in the absence of prior knowledge about clusters. A large amount of time-series data with large size has been acquired and used in various research…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Tomoki Inoue , Koyo Kubota , Tsubasa Ikami , Yasuhiro Egami , Hiroki Nagai , Takahiro Kashikawa , Koichi Kimura , Yu Matsuda

Hierarchical clustering is a class of algorithms that seeks to build a hierarchy of clusters. It has been the dominant approach to constructing embedded classification schemes since it outputs dendrograms, which capture the hierarchical…

Machine Learning · Statistics 2018-08-28 Xiaofei Ma , Satya Dhavala

Clustering of motion trajectories is highly relevant for human-robot interactions as it allows the anticipation of human motions, fast reaction to those, as well as the recognition of explicit gestures. Further, it allows automated analysis…

Robotics · Computer Science 2024-04-29 Christoph Zelch , Jan Peters , Oskar von Stryk

Cut-based directed graph (digraph) clustering often focuses on finding dense within-cluster or sparse between-cluster connections, similar to cut-based undirected graph clustering methods. In contrast, for flow-based clusterings the edges…

Machine Learning · Computer Science 2022-03-04 Koby Hayashi , Sinan G. Aksoy , Haesun Park

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

Machine Learning · Computer Science 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

In this paper we tackle the issue of clustering trajectories of geolocalized observations. Using clustering technics based on the choice of a distance between the observations, we first provide a comprehensive review of the different…

Machine Learning · Statistics 2015-08-21 Philippe Besse , Brendan Guillouet , Jean-Michel Loubes , Royer François

Citation networks represent the flow of information between agents. They are constrained in time and so form directed acyclic graphs which have a causal structure. Here we provide novel quantitative methods to characterise that structure by…

Physics and Society · Physics 2016-10-10 James R. Clough , Tim S. Evans

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

The discrete distribution is often used to describe complex instances in machine learning, such as images, sequences, and documents. Traditionally, clustering of discrete distributions (D2C) has been approached using Wasserstein barycenter…

Machine Learning · Computer Science 2024-08-19 Zixiao Wang , Dong Qiao , Jicong Fan

In high-dimension, low-sample size (HDLSS) data, it is not always true that closeness of two objects reflects a hidden cluster structure. We point out the important fact that it is not the closeness, but the "values" of distance that…

Machine Learning · Statistics 2013-12-30 Yoshikazu Terada

Clustering under pairwise constraints is an important knowledge discovery tool that enables the learning of appropriate kernels or distance metrics to improve clustering performance. These pairwise constraints, which come in the form of…

Machine Learning · Computer Science 2022-03-24 Benedikt Boecking , Vincent Jeanselme , Artur Dubrawski

Distance-based clustering and classification are widely used in various fields to group mixed numeric and categorical data. In many algorithms, a predefined distance measurement is used to cluster data points based on their dissimilarity.…

Machine Learning · Computer Science 2024-10-14 Jesse S. Ghashti , John R. J. Thompson

To quantify the fundamental evolution of time-varying networks, and detect abnormal behavior, one needs a notion of temporal difference that captures significant organizational changes between two successive instants. In this work, we…

Social and Information Networks · Computer Science 2017-08-17 Nathan D Monnig , Francois G Meyer

This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Machine Learning · Computer Science 2014-09-03 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

Causal discovery aims to recover graphs that represent causal relations among given variables from observations, and new methods are constantly being proposed. Increasingly, the community raises questions about how much progress is made,…

Machine Learning · Computer Science 2025-10-30 Zhufeng Li , Niki Kilbertus

Hierarchical Agglomerative Clustering (HAC) is a widely-used clustering method based on repeatedly merging the closest pair of clusters, where inter-cluster distances are determined by a linkage function. Unlike many clustering methods, HAC…

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

Strong product is an efficient way to construct a larger digraph through some specific small digraphs. The large digraph constructed by the strong product method contains the factor digraphs as its subgraphs, and can retain some good…

Discrete Mathematics · Computer Science 2019-01-23 Haoran Yin , Feng Li